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We consider various extensions and modifications of Shannon’s General Purpose Analog Computer, which is a model of computation by differential equations in continuous time. We show that several classical computation classes have natural analog counterparts, including the primitive recursive functions, the elementary functions, the levels of the Grzegorczyk hierarchy, and the arithmetical and an...

A new class of multifunctions, called upper lower βμ X , μ Y-continuous multifunctions, has been defined and studied. Some characterizations and several properties concerning upper lower βμ X , μ Y-continuous multifunctions are obtained. The relationships between upper lower βμ X , μ Y-continuous multifunctions and some known concepts are also discussed.

Liu process is a type of fuzzy process. It is a fuzzy counterpart of Brownian motion. In this paper, the continuity property of Liu process is studied. It is proved that almost all Liu paths are Lipschitz continuous.

In this paper we introduce the notion of upper and lower faintly αψ-continuous multifunctions. The basic properties and characterizaions of such functions are established.

although several methods have been developed to make gamma-aminobutyric acid (gaba) accumulate in tea, the active ingredients and health benefits vary widely depending on the manufacturing process of tea products. in this study, the levels of bioactive compounds and antioxidant activity in tea leaves given the continuous anaerobic condition were investigated. gaba and other free amino acids suc...

A new approach to define the similarity measure betweeninterval-valued fuzzy sets is presented. The proposed approach isbased on a weighted measure in which the normalized similaritiesbetween lower functions and also between upper functions arecombined by a weight parameter. The properties of this similaritymeasure are investigated. It is shown that, the proposed measurehas some advantages in c...

this paper is pertained with the problem of admissibility analysis of uncertain discrete-time nonlinear singular systems by adopting the state-space takagi-sugeno fuzzy model with time-delays and norm-bounded parameter uncertainties. lyapunov krasovskii functionals are constructed to obtain delay-dependent stability condition in terms of linear matrix inequalities, which is dependent on the low...

In this paper we consider the problem of delay-dependent robustH1 control for uncertain fuzzy systems with time-varying delay. The Takagi–Sugeno (T–S) fuzzy model is used to describe such systems. Time-delay isassumed to have lower and upper bounds. Based on the Lyapunov-Krasovskiifunctional method, a sufficient condition for the existence of a robust $H_{infty}$controller is obtained. The fuzz...